Publisher Correction: Many-body localization enables iterative quantum optimization

Correction to: Nature Communications 10.1038/s41467-022-33179-y, published online 20 September 2022

The original version of this Article contained an error in Equation 8 in the PDF version. The right hand side was written as a single matrix element instead of a two-by-two matrix, and incorrectly read:

$$H_{l,l^{\prime }}^{block}=\left({\tilde{E}}_l{t}_{l{l}^{\prime }}{t}_{l{l}^{\prime }}{\tilde{E}}_{l^{\prime }}\right)$$

The correct form of Equation 8 is:

$$H_{l,l^{\prime }}^{\mathrm{block}}=\left(\begin{array}{cc}\hfill {\tilde{E}}_l\hfill & \hfill t_{l{l}^{\prime }}\hfill \\ \hfill t_{l{l}^{\prime }}\hfill & \hfill {\tilde{E}}_{l^{\prime }}\hfill \end{array}\right)$$

This has been corrected in the PDF version of the Article. The html version was correct and has not been changed.